Bennett, J. E., Racine-Poon, A. and Wakefield, J. C. (1996)
MCMC for nonlinear hierarchical models. In Markov Chain Monte Carlo in Practice,
(eds. W. R. Gilks, S. Richardson and D. J. Spiegelhalter),
339-357. London: Chapman and Hall.
Berger, J. O. (1985) Statistical Decision Theory and Bayesian Analysis, 2nd Edition.
Springer-Verlag, New York.
Bernardo, J. and Smith, A. F. M. (1994) Bayesian Theory. Wiley, England.
Berry, D. A. and Stangl, D. K. (1996) Bayesian Biostatistics.
Marcel Dekker, Inc., New York.
Best, N. G., Cowles, M. K. and Vines, S. K. (1995) Convergence Diagnosis
and Output Analysis software for Gibbs Sampler output: Version 0.3.
Cambridge: Medical Research Council Biostatistics Unit.
Best, N. G., Tan, K. K. C., Gilks, W. R. and Spiegelhalter, D. J. (1995)
Estimation of population pharmacokinetics using the Gibbs sampler.
J. Pharmacokin. Biopharm., 23, 407-424.
Carlin, B. and Louis, T. (1996) Bayes and Empirical Bayes.
Chapman and Hall, London.
Cowles, M. K. and Carlin, B. P. (1996) Markov chain Monte Carlo convergence
diagnostics: a comparative review. J. Am. Statist. Ass., 91,
883-904.
Davidian, M. and Giltinan, D. M. (1995) Nonlinear Models for
Repeated Measurement Data. Chapman and Hall, London.
DeGroot, M. E. (1970) Optimal Statistical Decisions. New York: McGraw-Hill.
Gatsonis, C., Hodges, J., Kass, R. and Singpurwalla, N. (1993)
Case Studies in Bayesian Statistics. Springer-Verlag, New York.
Gatsonis, C., Hodges, J., Kass, R. and Singpurwalla, N. (1995)
Case Studies in Bayesian Statistics, Volume II. Springer-Verlag, New York.
Gelfand, A. E. and Smith, A. F. M. (1990) Sampling-based approaches to calculating
marginal densities. J. Am. Statist. Ass., 85, 398-409.
Gelman, A., Bois, F. Y. and Jiang, J. (1996) Physiological pharmacokinetic
analysis using population modeling and informative prior distributions.
J. Am. Statist. Ass., 91, 1400-12.
Gelman, A., Carlin, J. B., Stern, H. and Rubin, D. B. (1995)
Bayesian Data Analysis. Chapman and Hall, London.
Geman, S. and Geman, D. (1984) Stochastic relaxation, Gibbs distributions
and the Bayesian restoration of images.
IEEE Trans. Pattn. Anal. Mach. Intell., 6, 721-741.
Gilks, W. R. (1996) Full conditional distributions, in W. R. Gilks,
S. Richardson, and D. J. Spiegelhalter (eds), Markov Chain Monte Carlo in Practice,
Chapman and Hall, London, pp. 75-88.
Gilks, W. R., Richardson, S. and Spiegelhalter, D. J. (1996) Markov Chain Monte Carlo
in Practice, Chapman and Hall, London.
Hastings, W. K. (1970) Monte Carlo sampling-based methods using Markov chains
and their applications. Biometrika, 57, 97-109.
Karlsson, M. O. and Sheiner, L. B. (1993) The importance of modelling
inter-occasion variability in population pharmacokinetic analyses.
Journal of Pharmacokinetics and Biopharmaceutics, 21, 735-750.
Lauritzen, S. L., Dawid, A. P., Larsen, B. N. and Leimer, H. G. (1990) Independence
properties of directed Markov fields, Networks, 20, 491-505.
Lunn, D. J. and Aarons, L. J. (1997) Markov chain Monte Carlo techniques for studying
interoccasion and intersubject variability:
application to pharmacokinetic data.
Applied Statistics, 46, 73-91.
Lunn, D. J. and Aarons, L. (1998) The pharmacokinetics of saquinavir:
a Markov chain Monte Carlo population analysis.
J. Pharmacokin. Biopharm., 26, 47-74.
Lunn, D. J., Wakefield, J., Thomas, A., Best, N. and Spiegelhalter, D. (1999)
PKBugs User Guide, Dept. Epidemiology & Public Health, Imperial
College School of Medicine, London.
Maitre, P. O., Buhrer, M., Thomson, D. and Stanski, D. (1991)
A three-step approach to combining Bayesian regression and NONMEM
population analysis. Journal of Pharmacokinetics and Biopharmaceutics,
19, 377-384.
Mengersen, K. L., Robert, C. P. and Guihenneuc-Jouyaux, C. (1999) MCMC convergence
diagnostics: a reviewww, in J. M. Bernardo, J. O. Berger, A. P. Dawid and
A. F. M. Smith (eds), Bayesian Statistics 6, Oxford University Press, Oxford,
pp. 415-440.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. and Teller, E. (1953)
Equations of state calculations by fast computing machines. J. Chem. Phys.,
21, 1087-1091.
Pfister, C. (1997)Component Software: A Case Study Using BlackBox Components.
Zurich: Oberon Microsystems, Inc.
Racine-Poon, A., Grieve, A. P., Fluhler, H. and Smith, A. F. M. (1986)
Bayesian methods in practice: experiences in the pharmaceutical industry
(with discussion). Applied Statistics, 35, 93-150.
Racine-Poon, A. and Wakefield, J. C. (1996) Bayesian analysis of population
pharmacokinetic and instantaneous pharmacodynamic relationships.
In Bayesian Biostatistics, (eds. D. Berry and D. Stangl).
Marcel-Dekker.
Racine-Poon, A. and Wakefield, J. C. (1998)
Statistical methods for population pharmacokinetic modelling.
Statistical Methods in Medical Research, 7, 63-84.
Sheiner, L. B. and Beal, S. L. (1982) Bayesian individualisation of
pharmacokinetics: simple implementation and comparison with non-Bayesian
methods. J. Pharm. Sci., 71, 1344-1348.
Smith, A. F. M. and Roberts, G. O. (1993) Bayesian computation via the
Gibbs sampler and related Markov chain Monte Carlo.
J. Roy. Statist. Soc., Ser. B, 55, 3-23.
Spiegelhalter, D. J. (1998) Bayesian graphical modelling: a case-study in
monitoring health outcomes, Applied Statistics, 47, 115-133.
Spiegelhalter, D. J., Dawid, A. P., Lauritzen, S. L. and Cowell, R. G. (1993)
Bayesian analysis in expert systems (with discussion), Statistical Science,
8, 219-283.
Spiegelhalter, D. J., Freedman, L. and Parmar, M. K. B. (1994) Bayesian
approaches to randomized clinical trials (with discussion).
J. Roy. Statist. Soc., Ser. A, 157, 357-415.
Spiegelhalter, D. J., Thomas, A. and Best, N. G. (1996) Computation on Bayesian
graphical models, in J. M. Bernardo, J. O. Berger, A. P. Dawid and
A. F. M. Smith (eds), Bayesian Statistics 5, Oxford University Press,
Oxford, pp. 407-425.
Spiegelhalter, D., Thomas, A., Best, N. and Gilks, W. (1996) BUGS 0.5:
Bayesian inference Using Gibbs Sampling - Manual (version ii), Medical
Research Council Biostatistics Unit, Cambridge.
Szyperski, C. (1995) Component-oriented programming: a refined variation
of object-oriented programming. The Oberon Tribune, 1, 1-5.
Thomson, A. H., Way, S., Bryson, S. M., McGovern, E. M., Kelman, A. W. and Whiting, B.
(1988) Population pharmacokinetics of gentamicin in neonates.
Dev. Pharmacol. Ther., 11, 173-179.
Vozeh, S. and Steimer, J. -L. (1985) Feedback control methods for drug dosage
optimisation: concepts, classifications and clinical application.
Clinical Pharmacokinetics, 10, 457-67.
Wakefield, J. C. (1994) An expected loss approach to the design of dosage
regimens via sampling-based methods. The Statistician, 43, 13-29.
Wakefield, J. C. (1996a) The Bayesian analysis of population pharmacokinetic models.
J. Am. Statist. Ass., 91, 61-76.
Wakefield, J. C. (1996b) Bayesian individualisation via sampling-based methods.
Journal of Pharmacokinetics and Biopharmaceutics, 24, 103-131.
Wakefield, J. C., Aarons, L. and Racine-Poon, A. (1998) The Bayesian approach
to population pharmacokinetic/pharmacodynamic modelling.
In Case Studies in Bayesian Statistics
(eds. B. P. Carlin, A. L. Carriquiry, C. Gatsonis, A. Gelman, R. E. Kass,
I. Verdinelli and M. West), Springer-Verlag, New York.
Wakefield, J. C. and Bennett, J. E. (1996) The Bayesian modeling of covariates
for population pharmacokinetic models. J. Am. Statist. Ass.,
91, 917-927.
Wakefield, J. C. and Racine-Poon, A. (1995) An application of Bayesian
population pharmacokinetic/pharmacodynamic models to dose recommendation.
Statistics in Medicine, 14, 971-86.
Wakefield, J. C., Smith, A. F. M., Racine-Poon, A. and Gelfand, A. E. (1994)
Bayesian analysis of linear and non-linear population models using the Gibbs
sampler. Appl. Statist., 43, 201-221.
Whittaker, J. (1990) Graphical Models in Applied Multivariate Analysis,
Wiley, Chichester.